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Related papers: Improved direct sum theorem in classical communica…

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A Direct Sum Theorem holds in a model of computation, when solving some k input instances together is k times as expensive as solving one. We show that Direct Sum Theorems hold in the models of deterministic and randomized decision trees…

Computational Complexity · Computer Science 2010-04-02 Rahul Jain , Hartmut Klauck , Miklos Santha

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

Algebraic Geometry · Mathematics 2007-05-23 Yakov Varshavsky

This paper has been withdrawn by the author due a few mistakes in the paper.

Complex Variables · Mathematics 2011-01-19 Lakshmi Priya Magudeeswari Easwaran

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Operator Algebras · Mathematics 2012-01-04 Dinh Trung Hoa

This paper has been withdrawn by the author because there are some typos in proofs.

Commutative Algebra · Mathematics 2013-07-30 M. J. Nikmehr , F. Heydari

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

Geometric Topology · Mathematics 2007-11-13 Neil R. Nicholson

This paper is withdrawn. We found a mistake in Lemma 4.1

Functional Analysis · Mathematics 2007-10-01 Marius Junge , Quanhua Xu

We investigates a model of hybrid classical-quantum communication complexity, in which two parties first exchange classical messages and subsequently communicate using quantum messages. We study the trade-off between the classical and…

Computational Complexity · Computer Science 2026-04-23 Xudong Wu , Guangxu Yang , Penghui Yao

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Quantum Physics · Physics 2009-09-29 Toshifumi Itakura

This paper has been withdrawn.

Artificial Intelligence · Computer Science 2010-09-30 Hang Dinh

We study the additivity problems for the classical capacity of quantum channels, the minimal output entropy and its convex closure. We show for each of them that additivity for arbitrary pairs of channels holds iff it holds for arbitrary…

Quantum Physics · Physics 2007-08-21 Motohisa Fukuda , Michael M. Wolf

Withdrawn due to extensions and submission as another paper.

Methodology · Statistics 2008-04-16 Artin Armagan , Russell L. Zaretzki

This paper has been withdrawn by the author due to some error in the result

Functional Analysis · Mathematics 2010-11-23 Daewon Chung

This paper has been withdrawn by the author due to some errors.

Analysis of PDEs · Mathematics 2007-12-27 G. Liu

This paper has been withdrawn by the authors due to a crucial error.

Chaotic Dynamics · Physics 2007-09-16 A. Iomin , G. M. Zaslavsky

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Networking and Internet Architecture · Computer Science 2011-06-28 Kaushik Chakraborty , Ayon Chakraborty , Swarup Kumar Mitra , Mrinal Kanti Naskar

The paper has been withdrawn

Mathematical Physics · Physics 2009-10-31 Alexander I. Olemskoi , Alexei D. Kiselev

This submission has been withdrawn by arXiv admins due to fraudulent affiliation claims by the original submitter.

Number Theory · Mathematics 2014-08-18 Yuanyou Cheng , Glenn J. Fox , Mehdi Hassani

This paper has been withdrawn due to crucial erros in equations (24)--(31).

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Acacio de Barros , N. Pinto-Neto , M. A. Sagioro-Leal

This paper has been withdrawn by the author due to a crucial error in Lemma 3.5.

Algebraic Geometry · Mathematics 2007-05-23 Yujiro Kawamata
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